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Popular >

simplify 5ln(x^2)+ln(9x)

Solution

simplify

5 ln (x^{2}) + ln (9 x)

Solution

ln (9 x^{11})

Solution steps

5 ln (x^{2}) + ln (9 x)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

5 ln (x^{2}) = ln ((x^{2})^{5})

= ln ((x^{2})^{5}) + ln (9 x)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln ((x^{2})^{5}) + ln (9 x) = ln (9 x (x^{2})^{5})

= ln (9 x (x^{2})^{5})

Simplify

(x^{2})^{5} \cdot 9 x : 9 x^{11}

= ln (9 x^{11})

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Frequently Asked Questions (FAQ)

What is 5ln(x^2)+ln(9x) ?
The solution to 5ln(x^2)+ln(9x) is ln(9x^{11})